Solution of symmetric and unsymmetric band equations and the calculation of eigenvectors of band matrices

descriptionPublicationkeyboard_double_arrow_right Article , Part of book or chapter of book 01 Feb 1967 English Publisher:Springer Science and Business Media LLCJournal:Numerische Mathematik, volume 9, pages 279-301 (issn: 0029-599X, eissn: 0945-3245,

Copyright policy )

Authors: Martin, R. S.; Wilkinson, J. H.;

doi: 10.1007/bf02162421 , 10.1007/978-3-642-86940-2_6 , 10.1007/978-3-662-39778-7_6

Solution of symmetric and unsymmetric band equations and the calculation of eigenvectors of band matrices

- Summary
- Subjects
- Metrics

Abstract

In an earlier paper in this series [2] the triangular factorization of positive definite band matrices was discussed. With such matrices there is no need for pivoting, but with non-positive definite or unsymmetric matrices pivoting is necessary in general, otherwise severe numerical instability may result even when the matrix is well-conditioned.

Related Organizations

National Physical Laboratory
United Kingdom

Keywords

numerical analysis

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	56
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%